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Durham Research Online Deposited in DRO: 29 May 2019 Version of attached le: Published Version Peer-review status of attached le: Peer-reviewed Citation for published item: Berthaume, Michael A. and Winchester, Julia and Kupczik, Kornelius (2019) 'Eects of cropping, smoothing, triangle count, and mesh resolution on 6 dental topographic metrics.', PLoS ONE., 14 (5). e0216229. Further information on publisher's website: https://doi.org/10.1371/journal.pone.0216229 Publisher's copyright statement: Copyright: c 2019 Berthaume et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Additional information: Use policy The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that: • a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders. Please consult the full DRO policy for further details. Durham University Library, Stockton Road, Durham DH1 3LY, United Kingdom Tel : +44 (0)191 334 3042 | Fax : +44 (0)191 334 2971 https://dro.dur.ac.uk RESEARCH ARTICLE Effects of cropping, smoothing, triangle count, and mesh resolution on 6 dental topographic metrics 1,2,3 4 2 Michael A. BerthaumeID *, Julia Winchester , Kornelius KupczikID 1 Department of Bioengineering, Imperial College London, London, United Kingdom, 2 Max Planck Weizmann Center for Integrative Archaeology and Anthropology, Max Planck Institute for Evolutionary Anthropology, Leipzig, Saxony, Germany, 3 Department of Anthropology, Durham University, Durham, United Kingdom, 4 Department of Evolutionary Anthropology, Duke University, Durham, North Carolina, a1111111111 United States of America a1111111111 a1111111111 * [email protected] a1111111111 a1111111111 Abstract Dental topography is a widely used method for quantifying dental morphology and inferring dietary ecology in animals. Differences in methodology have brought into question the com- OPEN ACCESS parability of different studies. Using primate mandibular second molars, we investigated the Citation: Berthaume MA, Winchester J, Kupczik K (2019) Effects of cropping, smoothing, triangle effects of mesh preparation parameters smoothing, cropping, and triangle count/mesh reso- count, and mesh resolution on 6 dental lution (herein, resolution) on six topographic variables (Dirichlet normal energy, DNE; orien- topographic metrics. PLoS ONE 14(5): e0216229. tation patch count rotated, OPCR; relief index, RFI; ambient occlusion, portion de ciel https://doi.org/10.1371/journal.pone.0216229 visible, PCV; enamel surface area, SA; tooth size) to determine the effects of smoothing, Editor: Alistair Robert Evans, Monash University, cropping, and triangle count/resolution on topographic values and the relationship between AUSTRALIA these values and diet. All topographic metrics are sensitive to smoothing, cropping method, Received: December 4, 2018 and triangle count/resolution. In general, smoothing decreased DNE, OPCR, RFI, and SA, Accepted: April 16, 2019 increased PCV, and had no predictable effect on tooth size. Relative to the basin cut off Published: May 6, 2019 (BCO) cropping method, the entire enamel cap (EEC) method increased RFI, SA, and size, and had no predictable effect on DNE and OPCR. Smoothing and cropping affected DNE/ Copyright: © 2019 Berthaume et al. This is an open access article distributed under the terms of the OPCR and surfaces with low triangle counts more than other metrics and surfaces with high Creative Commons Attribution License, which triangle counts. There was a positive correlation between DNE/OPCR and triangle count/ permits unrestricted use, distribution, and resolution, and the rate of increase was weakly correlated to diet. PCV tended to converge reproduction in any medium, provided the original or decrease with increases in triangle count/resolution, and RFI, SA, and size converged. author and source are credited. Finally, there appears to be no optimal triangle count or resolution for predicting diet from Data Availability Statement: Original data are this sample, and constant triangle count appeared to perform better than constant resolution available from Morphosource (http:// morphosource.org/). Interested researchers can for predicting diet. produce the same datasets the authors did by following the protocol dictated in this study. Funding: This grant was funded by the Max Planck Society. Competing interests: The authors have declared Introduction that no competing interests exist. Dental ecology, the study of interactions between an organism's teeth and its environment, Abbreviations: BCO, basin cut off; DNE, Dirichlet provides a link between teeth, diet, and behavior [1]. As teeth are the most common element normal energy; EEC, entire enamel cap; MicroCT, of the fossil record, dental morphology has been a primary way of inferring ecology and PLOS ONE | https://doi.org/10.1371/journal.pone.0216229 May 6, 2019 1 / 47 Dental topographic sensitivity analysis microcomputed tomography; OPCR, orientation behavior of extinct mammals (e.g., [2±4]). Advances in scanning methodologies and computer patch count rotated; PCV, ambient occlusion technologies have led to the development of new methods for quantifying dental morphology (portion de ciel visible or ªportion of visible skyº); to better understand dental ecology, with a focus on correlating postcanine mammalian tooth RFI, relief index; SA, surface area. shape and diet [5,6]. The relationship between tooth shape and diet is particularly strong in mammals, which chew their food prior to ingestion [7,8]. Mammals chew foods to increase their surface area to volume ratio and mix food particles with saliva, increasing swallowability and digestibility [8,9]. Chewing ability is often quantified using chewing efficiency, which measures particle size of foods after they are chewed [10]. Kay and Sheine were able to show how one aspect of postcanine tooth shape, relative shearing crest length, was positively correlated to chewing effi- ciency in small mammals [11±13]. This is because relatively longer shearing crests increase the cutting ability of a tooth. A derivative of this metric has been shown to be correlated to repro- ductive success in lemurs [14], and several researchers have hypothesized how this and other aspects of tooth shape may relate to dietary mechanical properties (e.g. [8,9,15±19]). This and related work have shown that, in primates, shearing crest length is longer in insectivores/foli- vores compared to omnivores/frugivores/hard object feeders [20±24]. This is because the calorically poor and difficult to digest insect chitin and plant fiber need to be chewed more completely. In omnivores, frugivores, and hard object feeders, other selective pressures (e.g., crushing ability, reduced risk of enamel fracture, food item stabilization) may be more impor- tant [13,16,20,22,25±28]. This is supported by a lack of correlation between hard food item fracture efficiency and hypothetical molars [19]. While highly successful, quantifying relative shearing crest length has two issues: it can only be performed on teeth with preserved shearing crests. This is problematic for worn teeth, and species without prominent shearing crests (e.g. Daubentonia madagascariensis) [20,23]. This problem is circumvented through the use of dental topographic methods [29]. Dental topogra- phy is a landmark free method of quantifying whole tooth shape, often with a single metric. Originally methodologically limited to the use of Geographic information systems (GIS), non- GIS metrics now exist [5,6,19,23,30±32]. Dental topographic metrics Four topographic metrics will be focused on here: Dirichlet normal energy (DNE), orientation patch count rotated (OPCR), relief index (RFI), and ambient occlusion (portion de ciel visible, PCV). DNE was first introduced by [23] as a measure for tooth curviness. Since curvier teeth are sharper, DNE can be used as a measure for tooth sharpness. Orientation patch count (OPC), a variant of OPCR, measures dental complexity. Originally, OPC was measured by lay- ing a 2.5D grid on the surface of teeth/tooth rows, giving each dental surface the same number of data rows and roughly the same number of polygons. The normal vector to each polygon was calculated, and polygons were binned based on the direction the normal vector pointed: anteriorly, anterior-medially, medially, etc. If three or more polygons with common edges were in the same bin, they formed a ªpatch.º More complex teeth had more patches [32,33]. To account for differences in scan orientation, OPCR was developed [34], which averages eight OPC values for eight tooth orientations. Mathematically, RFI is the ratio of a tooth's 3D surface area (herein, surface area) to 2D projected area, where projected area is tooth size [31]. Depending on the cropping method used (see below), RFI can either reflect relative tooth or cusp area. (Note, when the basin cropping method is used, some authors refer to RFI as occlusal relief, OR [24,35,36].) Rela- tively taller teeth/cusps have higher RFI values. RFI can be reported as a strict ratio, or